Learning and Doing Mathematics
Written for anyone keen to develop learning skills or to enhance their problem-solving powers, this resource will help readers develop their own strategies by recognizing blockages and then using the techniques of generalizing and specializing to identify routes to a solution.
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Interlude A On Conjecturing
Interlude B On Crystallizing
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15 divisors algebra angles arithmetic Binomial Theorem calculations checked circle circular segment confidence-inspiring confidently manipulable conjecture consecutive numbers context convincing argument cubes decimal diagram digits divides edges equal equation equilateral triangles exactly N divisors examples Exercise experience expression factors Fahrenheit formula function geometric geometric progression Gilgamesh given gives going hypotenuse idea investigate involves irrational numbers John Mason KNOW and WANT look master mathematical thinking mathematicians mathematics texts means modifying modulo needed noticed number divisible number of divisors number with exactly odd number particular instances pattern perfect square perimeter points polygon positive integer prime Pythagoras Pythagorean theorem Pythagorean triples quadratic question rational number real number rectangle result right-angled triangle seems sense sequence side smallest number someone specialize back specific square root statement STUCK succinct suggests symbols tetrahedron theorem things Try N whole numbers words write